CHEMICAL POTENTIAL CALCULATION RELATIVE TO AN EXCITONIC GAS IN A NON-PARABOLIC QUANTUM DOT

Abstract

The Fermi energy level, that is, the chemical potential associated with an excitonic gas in a semiconductor within a non-parabolic quantum dot is calculated by determining previously the corresponding Fermi velocity of excitons conceived as confined in a spherical quantum box on the basis of the energy levels of the hydrogen atom. From the Fermi energy calculation, the reduced effective mass of an electron–hole pair is found to be dependent upon the spatial exciton density. In addition, some aspects related to quantization of the Fermi energy in question and temperature dependence are discussed.